A cube is a three–dimensional figure all of whose faces are squares of the same size

MATHEMATICS · Subjective · CBSE · Mathematics · Exploring Some Geometrical Themes · Exploring Some Geometrical Themes

Problem

A cube is a three–dimensional figure all of whose faces are squares of the same size. (i) State what is meant by the lateral surface area (LSA) and the total surface area (TSA) of any solid. (ii) How many square faces does a cube have? Explain, without using any numerical calculation, why the TSA of a cube of side aa is 6a26a^{2}. (iii) Give one situation from daily life in which only the LSA of a solid object needs to be known rather than its TSA, and briefly justify your answer.

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